Rockfish Historical Harvest Estimates

This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.

Table 1. Summary of key improvements in reconstructiing sport fish removals of rockfish using the Bayesian model as compared to the Howard et al. (2020) methods.

Issue	Howard	Bayes
Time series	1999 - present	1977 - present
Bias in SWHS	Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests.	Explicitly estimates bias in SWHS harvest and release estimates based on logbook data.
Species composition of releases	Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data.	Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data
Sample size limitations	Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas.	Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data.
Error propogation	Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with.	By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region.

Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.

Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).

Results

• Model: LB_fit_3pH

• Model Run: Gen4int_indcomp_swhsR_FULL_pHu2_thru2024_4e+05_2025-10-22 (Naming convention: modelname_thruYEAR_iters_rundate)

• Proportion of parmaters converged (Rhat <= 1.1): 0.9942

• See end of document for summary of unconverged parameters.

Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Estimate comparison

Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.

Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.

Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

And black rockfish releases…

Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Total Biomass Removal Estimates

Figure 13.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 14.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 15.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 16.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 17.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Model fit

Logbook residuals

Figure 18.- Residuals from logbook harvests.

SWHS residuals

Figure 19.- Residuals from SWHS harvests.

Figure 20.- Residual of SWHS releases.

Parameter estimates

P(Charter)

These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.

Figure 21.- Mean percent of harvest by charter anglers.

When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.

Figure 22.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

P(Harvest)

These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.

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Figure 23.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

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Figure 24.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

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Figure 25.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.

Figure 26.- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 27.- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

SWHS bias

Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.

Figure 28.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

Our estimates of SWHS harvest bias track observations fairly well when he have guided harvest estimates. The estimates of release bias in the SWHS data track observed patterns to an extent, but appear to smooth these more volatile disagreements with the logbook data. Adam postulated in his initial start on this that some of this could be the result of the estimates of the proportion guided. This value was not modelled with a trend and thus applies a constant estimate when hindcasting. Data on these relationships could greatly improve this model.

Figure 29.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

P(pelagic)

We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.

Figure 30.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

P(black|pelagic)

Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.

Figure 31.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

P(yelloweye|non-pelagic / yelloweye|DSR)

Figure 32.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(DSR|non-pelagic)

Figure 33.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

P(slope|non-pelagic)

Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(slope|non-pelagic & non-yellowye) For release estimates

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Weight Fits

Figure 35.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 36.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 37.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 38.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 39.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Summary of unconverged parameters:

The proportion of unconverged species composition proportional estimates that are near the bounds of 0 or 1 is 0.3492823

The proportion of unconverged true parameters (defined as Rhat > 1.01) that are also in excess of an Rhat of 1.1 is 0.05 while 0.95 are less than 1.1.

Table Xa. Species proportion derived quantities that are not with 0.05 of the 0 and 1 bounds and are not converged relative to an Rhat of 1.01.

variable	area_n	year	user	mean	median	lower	upper	Rhat	sd	skew	area
p_pelagic	11	1	1	0.449	0.447	0.201	0.693	1.016	0.127	0.016	CSEO
p_pelagic	11	1	2	0.383	0.378	0.160	0.631	1.017	0.122	0.041	CSEO
p_pelagic	11	10	2	0.383	0.375	0.166	0.638	1.011	0.125	0.064	CSEO
p_pelagic	11	11	1	0.447	0.443	0.211	0.694	1.014	0.127	0.032	CSEO
p_pelagic	11	12	1	0.447	0.447	0.211	0.692	1.015	0.126	0.000	CSEO
p_pelagic	11	17	1	0.456	0.458	0.229	0.691	1.011	0.119	-0.017	CSEO
p_pelagic	11	2	1	0.447	0.446	0.206	0.694	1.017	0.129	0.008	CSEO
p_pelagic	11	2	2	0.387	0.381	0.162	0.638	1.011	0.125	0.048	CSEO
p_pelagic	11	3	1	0.445	0.443	0.201	0.696	1.016	0.129	0.016	CSEO
p_pelagic	11	3	2	0.383	0.376	0.162	0.628	1.015	0.121	0.058	CSEO
p_pelagic	11	4	1	0.447	0.443	0.198	0.709	1.014	0.132	0.030	CSEO
p_pelagic	11	4	2	0.379	0.373	0.155	0.644	1.016	0.127	0.047	CSEO
p_pelagic	11	5	1	0.446	0.444	0.204	0.696	1.011	0.128	0.016	CSEO
p_pelagic	11	5	2	0.381	0.375	0.160	0.637	1.013	0.123	0.049	CSEO
p_pelagic	11	6	1	0.445	0.445	0.200	0.695	1.012	0.128	0.000	CSEO
p_pelagic	11	6	2	0.384	0.376	0.163	0.638	1.017	0.124	0.065	CSEO
p_pelagic	11	7	1	0.447	0.450	0.205	0.699	1.013	0.129	-0.023	CSEO
p_pelagic	11	7	2	0.383	0.374	0.164	0.647	1.017	0.125	0.072	CSEO
p_pelagic	11	9	1	0.447	0.450	0.209	0.702	1.020	0.129	-0.023	CSEO
p_pelagic	13	1	1	0.490	0.499	0.191	0.746	1.062	0.147	-0.061	NSEI
p_pelagic	13	1	2	0.274	0.263	0.070	0.535	1.034	0.121	0.091	NSEI
p_pelagic	13	10	1	0.495	0.503	0.209	0.747	1.042	0.143	-0.056	NSEI
p_pelagic	13	10	2	0.274	0.264	0.085	0.524	1.032	0.116	0.087	NSEI
p_pelagic	13	11	1	0.491	0.497	0.217	0.747	1.050	0.140	-0.043	NSEI
p_pelagic	13	11	2	0.276	0.265	0.082	0.523	1.034	0.116	0.095	NSEI
p_pelagic	13	12	1	0.494	0.499	0.213	0.747	1.046	0.142	-0.035	NSEI
p_pelagic	13	12	2	0.282	0.272	0.090	0.526	1.025	0.115	0.087	NSEI
p_pelagic	13	13	1	0.495	0.499	0.221	0.748	1.042	0.138	-0.029	NSEI
p_pelagic	13	13	2	0.280	0.268	0.089	0.525	1.030	0.115	0.104	NSEI
p_pelagic	13	14	1	0.486	0.488	0.227	0.747	1.033	0.134	-0.015	NSEI
p_pelagic	13	14	2	0.276	0.267	0.093	0.533	1.022	0.113	0.080	NSEI
p_pelagic	13	15	1	0.467	0.468	0.198	0.738	1.039	0.141	-0.007	NSEI
p_pelagic	13	15	2	0.265	0.253	0.094	0.507	1.021	0.109	0.110	NSEI
p_pelagic	13	16	1	0.487	0.487	0.229	0.737	1.027	0.136	0.000	NSEI
p_pelagic	13	16	2	0.277	0.267	0.099	0.520	1.029	0.111	0.090	NSEI
p_pelagic	13	17	1	0.499	0.505	0.236	0.746	1.013	0.133	-0.045	NSEI
p_pelagic	13	17	2	0.286	0.274	0.103	0.540	1.013	0.114	0.105	NSEI
p_pelagic	13	18	1	0.504	0.506	0.251	0.746	1.023	0.129	-0.015	NSEI
p_pelagic	13	18	2	0.285	0.276	0.108	0.534	1.012	0.110	0.082	NSEI
p_pelagic	13	19	1	0.498	0.497	0.247	0.749	1.018	0.132	0.008	NSEI
p_pelagic	13	19	2	0.285	0.271	0.108	0.534	1.014	0.112	0.125	NSEI
p_pelagic	13	2	1	0.486	0.495	0.194	0.749	1.083	0.149	-0.060	NSEI
p_pelagic	13	2	2	0.272	0.267	0.072	0.528	1.041	0.117	0.043	NSEI
p_pelagic	13	20	2	0.290	0.279	0.113	0.533	1.013	0.110	0.100	NSEI
p_pelagic	13	21	1	0.512	0.513	0.267	0.755	1.010	0.128	-0.008	NSEI
p_pelagic	13	3	1	0.489	0.498	0.187	0.751	1.071	0.149	-0.061	NSEI
p_pelagic	13	3	2	0.273	0.264	0.072	0.534	1.048	0.121	0.075	NSEI
p_pelagic	13	4	1	0.487	0.495	0.186	0.745	1.060	0.148	-0.054	NSEI
p_pelagic	13	4	2	0.271	0.263	0.075	0.517	1.041	0.117	0.068	NSEI
p_pelagic	13	5	1	0.491	0.497	0.189	0.758	1.065	0.147	-0.041	NSEI
p_pelagic	13	5	2	0.275	0.263	0.072	0.538	1.048	0.122	0.098	NSEI
p_pelagic	13	6	1	0.490	0.497	0.192	0.758	1.067	0.149	-0.047	NSEI
p_pelagic	13	6	2	0.273	0.260	0.076	0.535	1.037	0.121	0.108	NSEI
p_pelagic	13	7	1	0.486	0.496	0.194	0.747	1.067	0.145	-0.069	NSEI
p_pelagic	13	7	2	0.279	0.266	0.079	0.536	1.040	0.119	0.109	NSEI
p_pelagic	13	8	1	0.493	0.501	0.195	0.752	1.069	0.146	-0.055	NSEI
p_pelagic	13	8	2	0.274	0.261	0.079	0.535	1.036	0.120	0.109	NSEI
p_pelagic	13	9	1	0.492	0.502	0.201	0.754	1.061	0.145	-0.069	NSEI
p_pelagic	13	9	2	0.276	0.268	0.077	0.526	1.036	0.117	0.069	NSEI
p_pelagic	14	1	1	0.362	0.351	0.160	0.622	1.010	0.122	0.090	NSEO
p_pelagic	14	12	2	0.338	0.330	0.134	0.601	1.011	0.121	0.066	NSEO
p_pelagic	14	15	1	0.350	0.342	0.150	0.590	1.010	0.116	0.069	NSEO
p_pelagic	14	3	1	0.362	0.358	0.154	0.616	1.011	0.122	0.033	NSEO
p_pelagic	14	5	1	0.360	0.350	0.155	0.613	1.012	0.120	0.083	NSEO
p_black	14	5	1	0.925	0.945	0.746	0.989	1.011	0.064	-0.313	NSEO
p_pelagic	14	6	1	0.356	0.347	0.148	0.614	1.012	0.119	0.075	NSEO
p_pelagic	14	7	1	0.362	0.355	0.154	0.612	1.011	0.120	0.058	NSEO
p_pelagic	14	9	1	0.365	0.357	0.154	0.614	1.012	0.122	0.066	NSEO
p_pelagic	16	1	1	0.436	0.435	0.184	0.700	1.019	0.135	0.007	SSEO
p_pelagic	16	1	2	0.380	0.369	0.137	0.659	1.018	0.135	0.081	SSEO
p_pelagic	16	10	1	0.441	0.441	0.179	0.716	1.021	0.140	0.000	SSEO
p_pelagic	16	11	1	0.442	0.444	0.184	0.703	1.016	0.136	-0.015	SSEO
p_pelagic	16	12	1	0.439	0.437	0.182	0.715	1.014	0.138	0.015	SSEO
p_pelagic	16	13	1	0.443	0.444	0.191	0.704	1.016	0.135	-0.007	SSEO
p_pelagic	16	14	1	0.439	0.435	0.195	0.702	1.015	0.134	0.030	SSEO
p_pelagic	16	14	2	0.388	0.381	0.158	0.650	1.012	0.131	0.053	SSEO
p_pelagic	16	15	1	0.442	0.439	0.194	0.709	1.014	0.134	0.022	SSEO
p_pelagic	16	16	1	0.442	0.440	0.201	0.694	1.012	0.130	0.015	SSEO
p_pelagic	16	17	1	0.479	0.480	0.224	0.732	1.013	0.131	-0.008	SSEO
p_pelagic	16	18	1	0.467	0.464	0.226	0.718	1.010	0.129	0.023	SSEO
p_pelagic	16	2	1	0.438	0.437	0.187	0.701	1.019	0.135	0.007	SSEO
p_pelagic	16	2	2	0.381	0.374	0.145	0.645	1.017	0.134	0.052	SSEO
p_pelagic	16	3	1	0.438	0.437	0.179	0.708	1.034	0.138	0.007	SSEO
p_pelagic	16	3	2	0.379	0.374	0.141	0.650	1.010	0.132	0.038	SSEO
p_pelagic	16	4	1	0.439	0.437	0.180	0.712	1.029	0.138	0.014	SSEO
p_pelagic	16	4	2	0.383	0.375	0.147	0.648	1.021	0.134	0.060	SSEO
p_pelagic	16	42	1	0.833	0.833	0.826	0.840	1.035	0.003	0.000	SSEO
p_yellow	16	42	1	0.407	0.407	0.385	0.429	1.020	0.011	0.000	SSEO
p_dsr	16	42	1	0.442	0.437	0.405	0.501	1.465	0.025	0.201	SSEO
p_slope	16	42	1	0.175	0.182	0.113	0.208	1.594	0.025	-0.277	SSEO
p_pelagic	16	5	1	0.441	0.439	0.195	0.712	1.013	0.137	0.015	SSEO
p_pelagic	16	6	1	0.435	0.435	0.175	0.695	1.018	0.136	0.000	SSEO
p_pelagic	16	6	2	0.382	0.376	0.143	0.653	1.019	0.134	0.045	SSEO
p_pelagic	16	7	1	0.438	0.439	0.180	0.702	1.023	0.136	-0.007	SSEO
p_pelagic	16	7	2	0.380	0.372	0.145	0.645	1.015	0.131	0.061	SSEO
p_pelagic	16	8	1	0.439	0.437	0.187	0.703	1.015	0.136	0.015	SSEO
p_pelagic	16	8	2	0.384	0.378	0.149	0.648	1.012	0.132	0.045	SSEO
p_pelagic	16	9	1	0.438	0.435	0.180	0.717	1.024	0.139	0.022	SSEO
p_pelagic	3	1	1	0.545	0.548	0.295	0.783	1.018	0.128	-0.023	PWSI
p_pelagic	3	1	2	0.191	0.179	0.066	0.395	1.011	0.084	0.143	PWSI
p_pelagic	3	10	1	0.541	0.543	0.294	0.776	1.017	0.125	-0.016	PWSI
p_pelagic	3	10	2	0.190	0.176	0.066	0.382	1.015	0.082	0.170	PWSI
p_pelagic	3	11	1	0.542	0.547	0.280	0.784	1.023	0.130	-0.038	PWSI
p_pelagic	3	11	2	0.191	0.179	0.069	0.374	1.013	0.082	0.147	PWSI
p_pelagic	3	12	1	0.542	0.548	0.287	0.777	1.019	0.127	-0.047	PWSI
p_pelagic	3	12	2	0.190	0.178	0.068	0.389	1.017	0.082	0.147	PWSI
p_pelagic	3	13	1	0.541	0.546	0.290	0.777	1.016	0.127	-0.040	PWSI
p_pelagic	3	13	2	0.188	0.178	0.066	0.382	1.017	0.081	0.124	PWSI
p_pelagic	3	14	1	0.549	0.554	0.298	0.783	1.023	0.126	-0.040	PWSI
p_pelagic	3	15	1	0.537	0.540	0.285	0.768	1.020	0.127	-0.024	PWSI
p_pelagic	3	15	2	0.185	0.170	0.065	0.384	1.018	0.083	0.180	PWSI
p_pelagic	3	16	1	0.542	0.546	0.290	0.769	1.014	0.126	-0.032	PWSI
p_pelagic	3	16	2	0.189	0.175	0.070	0.379	1.024	0.079	0.176	PWSI
p_pelagic	3	17	1	0.541	0.545	0.292	0.780	1.029	0.128	-0.031	PWSI
p_pelagic	3	17	2	0.189	0.177	0.068	0.378	1.020	0.081	0.148	PWSI
p_pelagic	3	18	1	0.541	0.544	0.288	0.772	1.022	0.125	-0.024	PWSI
p_pelagic	3	18	2	0.191	0.180	0.073	0.380	1.020	0.081	0.136	PWSI
p_pelagic	3	19	1	0.544	0.547	0.303	0.775	1.017	0.125	-0.024	PWSI
p_pelagic	3	2	1	0.540	0.540	0.289	0.778	1.019	0.127	0.000	PWSI
p_pelagic	3	2	2	0.188	0.176	0.067	0.383	1.016	0.081	0.148	PWSI
p_pelagic	3	3	1	0.540	0.546	0.282	0.774	1.029	0.127	-0.047	PWSI
p_pelagic	3	3	2	0.188	0.174	0.069	0.378	1.013	0.082	0.170	PWSI
p_pelagic	3	4	1	0.546	0.546	0.297	0.784	1.012	0.125	0.000	PWSI
p_pelagic	3	4	2	0.188	0.176	0.065	0.383	1.012	0.082	0.147	PWSI
p_pelagic	3	5	1	0.546	0.547	0.289	0.783	1.012	0.130	-0.008	PWSI
p_pelagic	3	5	2	0.188	0.175	0.069	0.378	1.020	0.081	0.161	PWSI
p_pelagic	3	6	1	0.545	0.546	0.293	0.785	1.023	0.126	-0.008	PWSI
p_pelagic	3	6	2	0.189	0.177	0.067	0.382	1.020	0.082	0.147	PWSI
p_pelagic	3	7	1	0.540	0.541	0.286	0.776	1.026	0.129	-0.008	PWSI
p_pelagic	3	7	2	0.190	0.179	0.066	0.383	1.024	0.083	0.133	PWSI
p_pelagic	3	8	1	0.537	0.536	0.294	0.766	1.015	0.125	0.008	PWSI
p_pelagic	3	8	2	0.188	0.175	0.066	0.392	1.016	0.084	0.154	PWSI
p_pelagic	3	9	1	0.540	0.545	0.281	0.772	1.021	0.127	-0.039	PWSI
p_pelagic	3	9	2	0.191	0.178	0.071	0.386	1.012	0.081	0.160	PWSI
p_black	8	40	1	0.747	0.915	0.348	0.966	1.026	0.252	-0.668	afognak

Table Xb. True parameters with an Rhat in excess of 1.1

variable	area_n	year/species	mean	median	lower	upper	Rhat	sd	skew	year	area
tau_beta0_pH	1	1	6.007	4.060	0.786	22.555	1.126	7.245	0.269		CI
beta2_pH	1	1	2.498	0.814	0.093	15.356	1.131	3.970	0.424		CI
beta0_pelagic	11		-0.237	-0.199	-0.948	0.184	1.189	0.266	-0.143		CSEO
beta1_pelagic	11		1.272	1.195	0.831	2.507	1.276	0.387	0.199		CSEO
beta3_pelagic	11		29.929	29.957	27.269	32.458	1.109	1.317	-0.021		CSEO
beta0_pelagic	13		-0.091	0.057	-1.316	0.453	1.273	0.479	-0.309		NSEI
beta1_pelagic	13		1.670	1.471	0.583	3.347	1.175	0.808	0.246		NSEI
beta3_pelagic	13		35.606	36.039	26.562	41.481	1.109	3.789	-0.114		NSEI
beta1_pelagic	14		2.385	2.174	1.458	3.880	1.142	0.702	0.300		NSEO
beta1_pelagic	15		0.592	0.548	0.113	1.443	1.110	0.356	0.124		SSEI
beta3_pelagic	15		40.003	40.864	30.208	42.788	1.167	3.179	-0.271		SSEI
beta1_pelagic	16		1.477	1.386	0.718	2.679	1.124	0.519	0.175		SSEO
tau_beta2_pH	2	1	0.455	0.107	0.042	2.470	1.125	2.554	0.136		NG
mu_beta2_pH	3	1	1.088	0.916	0.543	3.053	1.111	0.943	0.182		PWSI
beta0_pelagic	3		0.181	0.198	-0.278	0.571	1.148	0.224	-0.076		PWSI
beta1_pelagic	3		0.704	0.688	0.266	1.196	1.107	0.237	0.067		PWSI
beta1_pH	8	1	2.104	2.035	1.325	3.422	1.144	0.539	0.128		afognak
beta3_pH	8	1	34.646	34.428	29.814	40.133	1.106	2.800	0.078		afognak
lambda_H	15		0.021	0.014	0.003	0.065	1.272	0.089	0.079		SSEI

Table Xc. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.01.

Statistic	non.BSAI.SOKO.Harv	BSAI.SOKO.Harv	non.BSAI.SOKO.Rel	BSAI.SOKO.Rel
n unconverged at Rhat = 1.01	731.00	266.00	1,172.00	347.00
Prop. of total	0.73	0.27	0.77	0.23
Prop. median less than 1	0.23	0.18	0.33	0.38
Prop. median less than 10	0.33	0.44	0.56	0.73
Prop. median less than 50	0.44	0.65	0.69	0.87
Median of the median values	116.77	15.94	5.59	2.07
Mean of the median values	956.80	467.99	238.10	104.14
Mean skew of posteriors	0.22	0.28	0.26	0.24

Table Xd. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.1.

Statistic	non.BSAI.SOKO.Harv	BSAI.SOKO.Harv	non.BSAI.SOKO.Rel	BSAI.SOKO.Rel
n unconverged at Rhat = 1.1	7.00	14.00	97.00	56.00
Prop. of total	0.33	0.67	0.63	0.37
Prop. median less than 1	0.71	0.71	0.79	0.61
Prop. median less than 10	1.00	0.86	0.92	0.88
Prop. median less than 50	1.00	1.00	0.98	1.00
Median of the median values	0.03	0.54	0.01	0.38
Mean of the median values	0.63	3.86	2.76	3.25
Mean skew of posteriors	0.26	0.21	0.13	0.16

Table Xe. All parameters and derived quantities that are not converged relative to an Rhat of 1.1.

variable	Freq
beta0_pelagic	3
beta1_pelagic	5
beta1_pH	1
beta2_pH	1
beta3_pelagic	1
H_ayg	1
H_ayu	1
Hb_ayg	1
Hb_ayu	1
Hd_ayg	1
Ho_ay	3
Ho_ayg	2
Ho_ayu	8
Hp_ay	1
Hp_ayg	1
Hp_ayu	1
Hs_ay	1
Hs_ayg	1
Hs_ayu	2
Hy_ay	4
Hy_ayg	1
Hy_ayu	4
lambda_H	1
mu_beta2_pH	1
p_dsr	1
p_slope	4
pH	2
R_ay	2
R_ayg	2
R_ayu	2
Rb_ay	1
Rb_ayg	1
Rb_ayu	2
Rd_ay	2
Rd_ayg	1
Rd_ayu	2
re_pelagic	2
re_pH	1
re_slope	1
Ro_ay	24
Ro_ayg	11
Ro_ayu	45
Rp_ay	1
Rp_ayg	1
Rp_ayu	2
Rs_ay	11
Rs_ayg	11
Rs_ayu	32
Ry_ay	33
Ry_ayg	9
Ry_ayu	57
tau_beta0_pH	1
tau_beta2_pH	1

Parameter estimates:

Summary Table of Parameter Estimates

Parameter	mean	sd	Lower_CI	Median	Upper_CI
mu_bc_H[1]	-0.015	0.070	-0.146	-0.018	0.127
mu_bc_H[2]	0.067	0.053	-0.031	0.064	0.177
mu_bc_H[3]	-0.311	0.068	-0.442	-0.312	-0.173
mu_bc_H[4]	-0.918	0.178	-1.275	-0.911	-0.587
mu_bc_H[5]	1.501	1.291	0.156	1.178	5.042
mu_bc_H[6]	-2.335	0.335	-2.987	-2.337	-1.676
mu_bc_H[7]	-0.440	0.101	-0.641	-0.438	-0.248
mu_bc_H[8]	0.306	0.368	-0.275	0.266	1.125
mu_bc_H[9]	-0.240	0.122	-0.480	-0.240	0.017
mu_bc_H[10]	0.088	0.067	-0.037	0.087	0.224
mu_bc_H[11]	-0.126	0.036	-0.198	-0.126	-0.053
mu_bc_H[12]	-0.249	0.106	-0.477	-0.244	-0.049
mu_bc_H[13]	-0.158	0.071	-0.294	-0.158	-0.017
mu_bc_H[14]	-0.308	0.089	-0.488	-0.306	-0.141
mu_bc_H[15]	-0.329	0.048	-0.422	-0.329	-0.232
mu_bc_H[16]	-0.305	0.364	-0.947	-0.330	0.465
mu_bc_R[1]	0.995	0.123	0.753	0.995	1.228
mu_bc_R[2]	1.005	0.073	0.858	1.007	1.142
mu_bc_R[3]	0.277	0.088	0.105	0.278	0.451
mu_bc_R[4]	0.659	0.196	0.264	0.669	1.023
mu_bc_R[5]	1.535	0.389	0.767	1.534	2.270
mu_bc_R[6]	-1.484	0.395	-2.228	-1.498	-0.684
mu_bc_R[7]	0.409	0.197	-0.002	0.415	0.800
mu_bc_R[8]	0.634	0.149	0.335	0.632	0.934
mu_bc_R[9]	0.379	0.167	0.019	0.386	0.682
mu_bc_R[10]	0.855	0.111	0.641	0.853	1.078
mu_bc_R[11]	1.084	0.070	0.944	1.084	1.222
mu_bc_R[12]	0.832	0.162	0.510	0.834	1.150
mu_bc_R[13]	1.097	0.089	0.924	1.099	1.272
mu_bc_R[14]	0.905	0.117	0.671	0.906	1.128
mu_bc_R[15]	0.823	0.101	0.618	0.823	1.014
mu_bc_R[16]	1.449	0.099	1.250	1.450	1.647
tau_pH[1]	3.227	0.235	2.804	3.219	3.714
tau_pH[2]	1.640	0.151	1.359	1.631	1.951
tau_pH[3]	1.478	0.138	1.223	1.471	1.767
tau_pH[4]	1.319	0.171	1.010	1.312	1.687
tau_pH[5]	0.640	0.109	0.450	0.632	0.866
beta0_pH[1,1,1]	0.380	0.200	-0.061	0.398	0.731
beta0_pH[2,1,1]	1.166	0.222	0.694	1.171	1.569
beta0_pH[3,1,1]	0.822	0.441	-0.138	0.840	1.554
beta0_pH[4,1,1]	1.128	0.406	0.339	1.153	1.823
beta0_pH[5,1,1]	-0.714	0.288	-1.345	-0.697	-0.202
beta0_pH[6,1,1]	-0.393	0.299	-1.096	-0.352	0.075
beta0_pH[7,1,1]	0.703	0.121	0.477	0.701	0.943
beta0_pH[8,1,1]	-0.581	0.270	-1.186	-0.570	-0.116
beta0_pH[9,1,1]	-0.274	0.243	-0.785	-0.256	0.175
beta0_pH[10,1,1]	0.251	0.202	-0.163	0.249	0.643
beta0_pH[11,1,1]	-0.096	0.188	-0.463	-0.093	0.259
beta0_pH[12,1,1]	0.549	0.209	0.131	0.556	0.952
beta0_pH[13,1,1]	0.007	0.164	-0.340	0.007	0.320
beta0_pH[14,1,1]	-0.263	0.203	-0.668	-0.265	0.121
beta0_pH[15,1,1]	-0.055	0.195	-0.444	-0.049	0.304
beta0_pH[16,1,1]	-0.156	0.201	-0.582	-0.150	0.217
beta0_pH[1,2,1]	0.113	0.181	-0.251	0.121	0.443
beta0_pH[2,2,1]	0.546	0.112	0.333	0.546	0.765
beta0_pH[3,2,1]	0.450	0.117	0.226	0.448	0.679
beta0_pH[4,2,1]	0.611	0.230	0.090	0.640	0.983
beta0_pH[5,2,1]	-0.123	0.536	-1.278	-0.096	0.837
beta0_pH[6,2,1]	-0.198	0.515	-1.332	-0.171	0.723
beta0_pH[7,2,1]	-0.266	0.574	-1.566	-0.232	0.747
beta0_pH[8,2,1]	-0.123	0.172	-0.464	-0.125	0.213
beta0_pH[9,2,1]	0.148	0.168	-0.175	0.144	0.482
beta0_pH[10,2,1]	-0.213	0.120	-0.443	-0.215	0.017
beta0_pH[11,2,1]	0.156	0.284	-0.414	0.156	0.675
beta0_pH[12,2,1]	0.632	0.426	-0.167	0.647	1.400
beta0_pH[13,2,1]	0.190	0.298	-0.430	0.197	0.777
beta0_pH[14,2,1]	0.005	0.312	-0.623	-0.002	0.631
beta0_pH[15,2,1]	0.384	0.393	-0.330	0.363	1.193
beta0_pH[16,2,1]	1.320	0.804	-0.123	1.441	2.637
beta0_pH[1,1,2]	2.526	0.220	2.089	2.528	2.958
beta0_pH[2,1,2]	2.946	0.184	2.588	2.945	3.307
beta0_pH[3,1,2]	3.449	0.201	3.068	3.443	3.852
beta0_pH[4,1,2]	3.231	0.181	2.868	3.231	3.596
beta0_pH[5,1,2]	4.475	1.295	2.681	4.252	7.676
beta0_pH[6,1,2]	3.315	0.256	2.815	3.310	3.830
beta0_pH[7,1,2]	1.976	0.232	1.527	1.974	2.427
beta0_pH[8,1,2]	2.824	0.217	2.398	2.824	3.243
beta0_pH[9,1,2]	3.907	0.288	3.342	3.900	4.474
beta0_pH[10,1,2]	3.890	0.247	3.394	3.889	4.374
beta0_pH[11,1,2]	1.919	0.186	1.541	1.917	2.282
beta0_pH[12,1,2]	1.809	0.210	1.406	1.809	2.217
beta0_pH[13,1,2]	2.490	0.194	2.107	2.492	2.867
beta0_pH[14,1,2]	1.912	0.185	1.559	1.909	2.276
beta0_pH[15,1,2]	2.460	0.206	2.054	2.459	2.855
beta0_pH[16,1,2]	2.638	0.207	2.225	2.641	3.044
beta0_pH[1,2,2]	1.894	0.715	0.378	1.924	3.204
beta0_pH[2,2,2]	1.783	0.266	1.254	1.785	2.290
beta0_pH[3,2,2]	1.931	0.247	1.438	1.933	2.407
beta0_pH[4,2,2]	2.310	0.287	1.771	2.311	2.866
beta0_pH[5,2,2]	3.383	1.514	0.539	3.307	6.638
beta0_pH[6,2,2]	3.395	1.494	0.458	3.357	6.791
beta0_pH[7,2,2]	3.410	1.529	0.533	3.327	6.808
beta0_pH[8,2,2]	4.287	1.310	2.407	4.028	7.536
beta0_pH[9,2,2]	3.928	1.353	1.900	3.720	7.229
beta0_pH[10,2,2]	2.518	0.366	1.816	2.508	3.244
beta0_pH[11,2,2]	2.586	0.223	2.155	2.587	3.029
beta0_pH[12,2,2]	1.483	0.453	0.593	1.486	2.354
beta0_pH[13,2,2]	2.674	0.229	2.210	2.672	3.125
beta0_pH[14,2,2]	1.906	0.229	1.453	1.906	2.361
beta0_pH[15,2,2]	2.626	0.211	2.213	2.629	3.035
beta0_pH[16,2,2]	3.438	0.333	2.822	3.432	4.126
beta0_pH[1,1,3]	0.702	0.651	-1.308	0.854	1.495
beta0_pH[2,1,3]	2.077	0.210	1.673	2.078	2.485
beta0_pH[3,1,3]	2.667	0.199	2.278	2.668	3.058
beta0_pH[4,1,3]	3.030	0.211	2.621	3.029	3.432
beta0_pH[5,1,3]	2.375	1.291	0.572	2.152	5.462
beta0_pH[6,1,3]	1.238	0.406	0.494	1.215	2.070
beta0_pH[7,1,3]	0.504	0.218	0.093	0.495	0.952
beta0_pH[8,1,3]	0.262	0.251	-0.237	0.265	0.751
beta0_pH[9,1,3]	-1.685	0.642	-3.001	-1.664	-0.516
beta0_pH[10,1,3]	-0.303	0.699	-1.874	-0.230	0.858
beta0_pH[11,1,3]	1.040	0.375	0.314	1.027	1.817
beta0_pH[12,1,3]	0.924	0.451	0.084	0.894	1.945
beta0_pH[13,1,3]	0.773	0.365	-0.018	0.792	1.448
beta0_pH[14,1,3]	0.579	0.372	-0.249	0.614	1.191
beta0_pH[15,1,3]	0.833	0.328	0.161	0.838	1.468
beta0_pH[16,1,3]	1.042	0.448	0.217	1.009	2.054
beta0_pH[1,2,3]	1.110	0.533	0.073	1.108	2.164
beta0_pH[2,2,3]	0.224	0.259	-0.278	0.219	0.738
beta0_pH[3,2,3]	0.544	0.235	0.100	0.540	1.018
beta0_pH[4,2,3]	0.590	0.300	-0.001	0.591	1.167
beta0_pH[5,2,3]	0.377	1.728	-2.805	0.245	4.285
beta0_pH[6,2,3]	0.242	1.839	-3.133	0.138	4.261
beta0_pH[7,2,3]	0.113	1.839	-3.548	0.137	3.766
beta0_pH[8,2,3]	-0.402	1.076	-2.701	-0.356	1.577
beta0_pH[9,2,3]	0.304	1.880	-3.543	0.275	4.119
beta0_pH[10,2,3]	-0.105	0.342	-0.779	-0.099	0.562
beta0_pH[11,2,3]	0.811	0.315	0.053	0.849	1.301
beta0_pH[12,2,3]	0.835	0.317	0.174	0.855	1.396
beta0_pH[13,2,3]	1.045	0.379	0.359	1.012	1.874
beta0_pH[14,2,3]	0.761	0.347	0.020	0.784	1.391
beta0_pH[15,2,3]	0.790	0.351	0.026	0.804	1.438
beta0_pH[16,2,3]	0.923	0.396	0.127	0.912	1.724
beta0_pH[11,1,4]	0.838	0.334	0.173	0.836	1.518
beta0_pH[12,1,4]	0.704	0.403	-0.167	0.722	1.433
beta0_pH[13,1,4]	0.701	0.386	-0.160	0.717	1.378
beta0_pH[14,1,4]	0.575	0.444	-0.400	0.632	1.249
beta0_pH[15,1,4]	0.683	0.329	-0.021	0.696	1.317
beta0_pH[16,1,4]	0.813	0.401	0.030	0.812	1.626
beta0_pH[11,2,4]	0.603	0.342	-0.172	0.634	1.191
beta0_pH[12,2,4]	0.705	0.327	0.038	0.712	1.329
beta0_pH[13,2,4]	0.874	0.347	0.187	0.874	1.558
beta0_pH[14,2,4]	0.664	0.342	-0.067	0.679	1.295
beta0_pH[15,2,4]	0.667	0.355	-0.105	0.687	1.286
beta0_pH[16,2,4]	0.789	0.380	0.046	0.784	1.593
beta0_pH[11,1,5]	2.713	0.350	2.024	2.711	3.400
beta0_pH[12,1,5]	-0.909	0.514	-1.895	-0.927	0.113
beta0_pH[13,1,5]	3.202	0.540	2.168	3.195	4.278
beta0_pH[14,1,5]	3.565	0.483	2.654	3.553	4.535
beta0_pH[15,1,5]	2.142	0.406	1.348	2.129	2.969
beta0_pH[16,1,5]	-0.359	0.298	-0.950	-0.372	0.246
beta0_pH[11,2,5]	2.098	0.383	1.364	2.098	2.867
beta0_pH[12,2,5]	-0.753	1.148	-3.150	-0.703	1.363
beta0_pH[13,2,5]	4.247	0.428	3.448	4.246	5.104
beta0_pH[14,2,5]	3.172	0.623	2.028	3.141	4.428
beta0_pH[15,2,5]	2.579	0.347	1.931	2.565	3.279
beta0_pH[16,2,5]	4.320	0.718	2.956	4.302	5.816
beta1_pH[1,1,1]	3.431	0.765	2.423	3.254	5.427
beta1_pH[2,1,1]	2.122	0.426	1.458	2.068	3.041
beta1_pH[3,1,1]	2.733	0.741	1.567	2.683	4.349
beta1_pH[4,1,1]	3.224	1.104	1.745	2.990	6.050
beta1_pH[5,1,1]	2.210	0.346	1.604	2.196	2.955
beta1_pH[6,1,1]	1.951	0.534	1.177	1.857	3.270
beta1_pH[7,1,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,1,1]	2.104	0.539	1.325	2.035	3.422
beta1_pH[9,1,1]	1.950	0.455	1.282	1.888	3.120
beta1_pH[10,1,1]	2.194	0.320	1.618	2.168	2.907
beta1_pH[11,1,1]	3.328	0.237	2.863	3.327	3.794
beta1_pH[12,1,1]	2.953	0.250	2.463	2.950	3.443
beta1_pH[13,1,1]	2.730	0.245	2.252	2.722	3.220
beta1_pH[14,1,1]	3.332	0.268	2.839	3.323	3.921
beta1_pH[15,1,1]	2.673	0.248	2.199	2.669	3.191
beta1_pH[16,1,1]	3.040	0.252	2.567	3.036	3.547
beta1_pH[1,2,1]	0.409	0.298	0.002	0.375	1.041
beta1_pH[2,2,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[3,2,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[4,2,1]	0.340	0.289	0.001	0.279	1.014
beta1_pH[5,2,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[6,2,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[7,2,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,2,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[9,2,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[10,2,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[11,2,1]	1.588	0.341	0.968	1.568	2.282
beta1_pH[12,2,1]	1.388	0.458	0.550	1.363	2.309
beta1_pH[13,2,1]	1.566	0.330	0.922	1.554	2.266
beta1_pH[14,2,1]	1.706	0.347	1.081	1.693	2.428
beta1_pH[15,2,1]	1.440	0.414	0.645	1.437	2.243
beta1_pH[16,2,1]	2.362	0.807	1.116	2.241	3.903
beta1_pH[1,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[2,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[3,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[4,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[5,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[6,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[7,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[9,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[10,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[11,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[12,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[13,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[14,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[15,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[16,1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[1,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[2,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[3,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[4,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[5,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[6,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[7,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[9,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[10,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[11,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[12,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[13,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[14,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[15,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[16,2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[1,1,3]	2.794	1.554	0.713	2.414	6.720
beta1_pH[2,1,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[3,1,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[4,1,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[5,1,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[6,1,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[7,1,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,1,3]	4.356	1.835	2.046	3.947	9.126
beta1_pH[9,1,3]	4.354	1.186	2.560	4.236	7.023
beta1_pH[10,1,3]	5.130	2.222	2.402	4.562	11.025
beta1_pH[11,1,3]	2.170	0.457	1.314	2.161	3.049
beta1_pH[12,1,3]	3.152	0.520	2.121	3.154	4.175
beta1_pH[13,1,3]	1.674	0.412	0.903	1.666	2.512
beta1_pH[14,1,3]	1.770	0.421	0.980	1.758	2.641
beta1_pH[15,1,3]	2.060	0.401	1.281	2.062	2.826
beta1_pH[16,1,3]	3.260	0.532	2.151	3.272	4.266
beta1_pH[1,2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[2,2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[3,2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[4,2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[5,2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[6,2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[7,2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[9,2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[10,2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[11,2,3]	0.808	0.819	0.118	0.626	2.564
beta1_pH[12,2,3]	0.838	0.604	0.123	0.752	2.080
beta1_pH[13,2,3]	1.422	0.457	0.404	1.444	2.272
beta1_pH[14,2,3]	1.495	0.478	0.569	1.487	2.466
beta1_pH[15,2,3]	0.992	0.471	0.182	0.983	1.878
beta1_pH[16,2,3]	1.883	0.533	0.880	1.874	2.982
beta1_pH[11,1,4]	1.911	0.434	1.050	1.906	2.774
beta1_pH[12,1,4]	3.184	0.512	2.242	3.156	4.269
beta1_pH[13,1,4]	0.826	0.465	0.023	0.814	1.802
beta1_pH[14,1,4]	1.429	0.508	0.528	1.400	2.513
beta1_pH[15,1,4]	0.650	0.404	0.011	0.626	1.480
beta1_pH[16,1,4]	3.200	0.517	2.174	3.195	4.221
beta1_pH[11,2,4]	0.607	0.400	0.017	0.557	1.481
beta1_pH[12,2,4]	0.809	0.451	0.036	0.798	1.731
beta1_pH[13,2,4]	1.289	0.443	0.418	1.288	2.197
beta1_pH[14,2,4]	1.639	0.502	0.681	1.615	2.680
beta1_pH[15,2,4]	0.967	0.439	0.118	0.967	1.834
beta1_pH[16,2,4]	1.867	0.532	0.749	1.863	2.927
beta1_pH[11,1,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[12,1,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[13,1,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[14,1,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[15,1,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[16,1,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[11,2,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[12,2,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[13,2,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[14,2,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[15,2,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[16,2,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[1,1,1]	0.441	0.175	0.208	0.409	0.866
beta2_pH[2,1,1]	0.684	0.454	0.208	0.562	1.881
beta2_pH[3,1,1]	0.377	0.362	0.114	0.256	1.397
beta2_pH[4,1,1]	0.318	0.245	0.099	0.246	0.928
beta2_pH[5,1,1]	2.464	2.274	0.464	1.892	8.148
beta2_pH[6,1,1]	1.197	2.104	0.159	0.504	6.947
beta2_pH[7,1,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,1,1]	0.830	1.240	0.171	0.416	5.353
beta2_pH[9,1,1]	1.013	1.261	0.180	0.603	5.407
beta2_pH[10,1,1]	1.234	1.262	0.320	0.796	5.508
beta2_pH[11,1,1]	0.884	0.256	0.505	0.843	1.528
beta2_pH[12,1,1]	1.252	0.516	0.688	1.117	2.765
beta2_pH[13,1,1]	0.968	0.388	0.510	0.891	2.016
beta2_pH[14,1,1]	0.937	0.306	0.532	0.890	1.662
beta2_pH[15,1,1]	0.860	0.329	0.421	0.806	1.797
beta2_pH[16,1,1]	0.873	0.285	0.462	0.833	1.627
beta2_pH[1,2,1]	2.247	1.329	0.044	2.357	3.992
beta2_pH[2,2,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[3,2,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[4,2,1]	2.135	1.402	0.030	2.265	3.991
beta2_pH[5,2,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[6,2,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[7,2,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,2,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[9,2,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[10,2,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[11,2,1]	2.469	1.230	0.499	2.629	3.995
beta2_pH[12,2,1]	2.404	1.346	0.100	2.681	3.994
beta2_pH[13,2,1]	2.512	1.208	0.560	2.703	3.995
beta2_pH[14,2,1]	2.709	1.186	0.500	3.130	3.995
beta2_pH[15,2,1]	2.514	1.226	0.404	2.753	3.995
beta2_pH[16,2,1]	2.447	1.373	0.378	2.770	3.995
beta2_pH[1,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[2,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[3,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[4,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[5,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[6,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[7,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[9,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[10,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[11,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[12,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[13,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[14,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[15,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[16,1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[1,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[2,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[3,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[4,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[5,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[6,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[7,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[9,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[10,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[11,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[12,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[13,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[14,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[15,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[16,2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[1,1,3]	2.498	3.970	0.093	0.814	15.356
beta2_pH[2,1,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[3,1,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[4,1,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[5,1,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[6,1,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[7,1,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,1,3]	2.893	2.900	0.531	1.801	11.349
beta2_pH[9,1,3]	1.378	2.575	0.185	0.526	10.377
beta2_pH[10,1,3]	1.129	2.576	0.130	0.386	9.865
beta2_pH[11,1,3]	-7.638	5.335	-19.479	-6.416	-0.664
beta2_pH[12,1,3]	-8.374	5.054	-19.504	-7.528	-1.178
beta2_pH[13,1,3]	-8.033	5.096	-19.461	-6.829	-1.414
beta2_pH[14,1,3]	-8.082	5.080	-19.494	-6.963	-1.390
beta2_pH[15,1,3]	-8.065	5.137	-19.471	-6.942	-1.217
beta2_pH[16,1,3]	-8.023	5.038	-19.528	-6.663	-1.725
beta2_pH[1,2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[2,2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[3,2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[4,2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[5,2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[6,2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[7,2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[9,2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[10,2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[11,2,3]	-7.580	5.180	-19.338	-6.629	-0.328
beta2_pH[12,2,3]	-7.602	5.297	-19.386	-6.552	-0.455
beta2_pH[13,2,3]	-7.619	5.281	-19.412	-6.584	-0.604
beta2_pH[14,2,3]	-7.753	5.212	-19.379	-6.631	-0.955
beta2_pH[15,2,3]	-7.678	5.262	-19.517	-6.521	-0.644
beta2_pH[16,2,3]	-7.818	5.068	-19.361	-6.610	-1.151
beta2_pH[11,1,4]	-8.638	5.521	-22.557	-7.562	-1.137
beta2_pH[12,1,4]	-9.079	5.523	-22.838	-8.139	-1.070
beta2_pH[13,1,4]	-8.782	5.539	-22.318	-7.725	-1.113
beta2_pH[14,1,4]	-8.803	5.438	-22.691	-7.695	-1.469
beta2_pH[15,1,4]	-8.762	5.596	-22.196	-7.716	-0.851
beta2_pH[16,1,4]	-8.733	5.391	-22.143	-7.700	-1.561
beta2_pH[11,2,4]	-7.557	5.558	-21.358	-6.395	-0.291
beta2_pH[12,2,4]	-7.653	5.534	-21.569	-6.527	-0.416
beta2_pH[13,2,4]	-7.474	5.560	-21.445	-6.235	-0.474
beta2_pH[14,2,4]	-7.772	5.404	-20.681	-6.495	-0.992
beta2_pH[15,2,4]	-7.675	5.338	-20.851	-6.452	-0.789
beta2_pH[16,2,4]	-7.845	5.325	-20.911	-6.617	-1.107
beta2_pH[11,1,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[12,1,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[13,1,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[14,1,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[15,1,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[16,1,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[11,2,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[12,2,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[13,2,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[14,2,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[15,2,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[16,2,5]	0.000	0.000	0.000	0.000	0.000
beta3_pH[1,1,1]	35.895	1.606	33.385	35.656	39.589
beta3_pH[2,1,1]	32.381	1.381	29.899	32.346	35.184
beta3_pH[3,1,1]	32.086	2.739	26.759	32.195	37.915
beta3_pH[4,1,1]	34.226	2.779	29.260	33.792	40.806
beta3_pH[5,1,1]	27.471	0.613	26.433	27.442	28.610
beta3_pH[6,1,1]	33.433	2.278	29.435	33.207	38.486
beta3_pH[7,1,1]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,1,1]	34.646	2.800	29.814	34.428	40.133
beta3_pH[9,1,1]	31.551	2.295	28.099	31.326	38.146
beta3_pH[10,1,1]	32.313	1.101	30.281	32.267	34.505
beta3_pH[11,1,1]	30.281	0.561	29.320	30.246	31.440
beta3_pH[12,1,1]	30.531	0.475	29.548	30.542	31.419
beta3_pH[13,1,1]	32.739	0.671	31.466	32.735	34.065
beta3_pH[14,1,1]	32.040	0.579	30.898	32.034	33.148
beta3_pH[15,1,1]	31.233	0.815	29.659	31.227	32.832
beta3_pH[16,1,1]	30.828	0.637	29.520	30.820	32.062
beta3_pH[1,2,1]	34.481	3.328	26.858	34.301	42.228
beta3_pH[2,2,1]	33.960	5.227	25.446	33.867	42.593
beta3_pH[3,2,1]	32.521	6.010	22.544	32.577	42.360
beta3_pH[4,2,1]	31.405	5.373	22.754	29.942	42.341
beta3_pH[5,2,1]	25.000	0.000	25.000	25.000	25.000
beta3_pH[6,2,1]	25.000	0.000	25.000	25.000	25.000
beta3_pH[7,2,1]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,2,1]	25.000	0.000	25.000	25.000	25.000
beta3_pH[9,2,1]	25.000	0.000	25.000	25.000	25.000
beta3_pH[10,2,1]	25.000	0.000	25.000	25.000	25.000
beta3_pH[11,2,1]	35.088	1.433	32.551	34.914	37.723
beta3_pH[12,2,1]	32.209	2.176	29.231	31.675	37.206
beta3_pH[13,2,1]	30.688	1.026	29.059	30.771	32.614
beta3_pH[14,2,1]	32.216	1.195	30.966	31.825	35.547
beta3_pH[15,2,1]	31.065	1.378	29.147	30.979	33.961
beta3_pH[16,2,1]	31.181	1.753	29.113	31.304	32.894
beta3_pH[1,1,2]	33.923	5.213	25.410	33.640	42.549
beta3_pH[2,1,2]	33.889	5.184	25.460	33.723	42.486
beta3_pH[3,1,2]	32.564	6.016	22.461	32.681	42.488
beta3_pH[4,1,2]	32.590	6.063	22.556	32.609	42.541
beta3_pH[5,1,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[6,1,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[7,1,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,1,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[9,1,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[10,1,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[11,1,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[12,1,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[13,1,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[14,1,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[15,1,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[16,1,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[1,2,2]	33.969	5.199	25.420	34.037	42.533
beta3_pH[2,2,2]	34.051	5.205	25.490	34.006	42.594
beta3_pH[3,2,2]	32.513	6.054	22.576	32.519	42.503
beta3_pH[4,2,2]	32.567	6.023	22.497	32.668	42.511
beta3_pH[5,2,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[6,2,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[7,2,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,2,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[9,2,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[10,2,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[11,2,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[12,2,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[13,2,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[14,2,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[15,2,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[16,2,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[1,1,3]	38.649	3.003	31.514	39.622	42.679
beta3_pH[2,1,3]	34.036	5.206	25.420	34.122	42.449
beta3_pH[3,1,3]	32.622	6.152	22.446	33.003	42.526
beta3_pH[4,1,3]	32.478	6.047	22.528	32.562	42.483
beta3_pH[5,1,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[6,1,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[7,1,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,1,3]	41.929	0.767	40.760	41.770	43.726
beta3_pH[9,1,3]	33.001	0.880	32.033	32.848	34.901
beta3_pH[10,1,3]	36.455	2.440	32.771	35.967	42.647
beta3_pH[11,1,3]	40.675	1.112	38.940	40.687	42.717
beta3_pH[12,1,3]	41.996	0.939	39.241	42.328	42.856
beta3_pH[13,1,3]	41.276	0.774	39.552	41.356	42.687
beta3_pH[14,1,3]	40.296	0.836	38.758	40.245	41.868
beta3_pH[15,1,3]	40.608	0.606	39.241	40.641	41.775
beta3_pH[16,1,3]	42.193	0.402	41.258	42.184	42.891
beta3_pH[1,2,3]	33.979	5.242	25.488	34.049	42.497
beta3_pH[2,2,3]	33.983	5.214	25.436	34.004	42.534
beta3_pH[3,2,3]	32.492	6.062	22.526	32.433	42.531
beta3_pH[4,2,3]	32.613	6.077	22.437	32.653	42.403
beta3_pH[5,2,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[6,2,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[7,2,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,2,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[9,2,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[10,2,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[11,2,3]	35.748	4.895	29.109	36.758	42.685
beta3_pH[12,2,3]	35.848	4.101	29.309	36.025	42.658
beta3_pH[13,2,3]	40.369	1.584	36.458	40.614	42.643
beta3_pH[14,2,3]	39.638	1.255	36.983	39.817	41.686
beta3_pH[15,2,3]	39.436	2.372	32.143	39.903	42.563
beta3_pH[16,2,3]	41.356	0.834	39.336	41.476	42.696
beta3_pH[11,1,4]	40.243	0.840	38.926	40.162	42.223
beta3_pH[12,1,4]	42.339	0.536	40.561	42.433	42.944
beta3_pH[13,1,4]	41.226	1.708	36.557	41.466	43.794
beta3_pH[14,1,4]	40.500	1.067	38.168	40.581	42.263
beta3_pH[15,1,4]	40.926	1.962	36.046	41.175	43.763
beta3_pH[16,1,4]	41.898	0.524	40.968	41.923	42.886
beta3_pH[11,2,4]	39.568	2.568	34.542	39.811	43.689
beta3_pH[12,2,4]	38.720	2.734	34.583	38.420	43.687
beta3_pH[13,2,4]	39.826	1.885	35.757	40.106	43.307
beta3_pH[14,2,4]	39.680	1.117	37.306	39.776	41.677
beta3_pH[15,2,4]	39.756	1.847	36.029	39.990	43.020
beta3_pH[16,2,4]	41.317	0.942	39.177	41.435	42.892
beta3_pH[11,1,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[12,1,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[13,1,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[14,1,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[15,1,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[16,1,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[11,2,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[12,2,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[13,2,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[14,2,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[15,2,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[16,2,5]	25.000	0.000	25.000	25.000	25.000
beta0_pelagic[1]	2.222	0.105	2.012	2.225	2.422
beta0_pelagic[2]	1.489	0.098	1.303	1.485	1.690
beta0_pelagic[3]	0.181	0.224	-0.278	0.198	0.571
beta0_pelagic[4]	0.287	0.225	-0.244	0.308	0.672
beta0_pelagic[5]	1.412	0.182	1.058	1.409	1.773
beta0_pelagic[6]	1.374	0.122	1.139	1.376	1.611
beta0_pelagic[7]	1.496	0.113	1.279	1.497	1.720
beta0_pelagic[8]	1.726	0.115	1.502	1.724	1.962
beta0_pelagic[9]	2.764	0.128	2.521	2.762	3.015
beta0_pelagic[10]	2.551	0.104	2.339	2.552	2.752
beta0_pelagic[11]	-0.237	0.266	-0.948	-0.199	0.184
beta0_pelagic[12]	1.785	0.110	1.574	1.783	2.008
beta0_pelagic[13]	-0.091	0.479	-1.316	0.057	0.453
beta0_pelagic[14]	-0.614	0.269	-1.245	-0.575	-0.174
beta0_pelagic[15]	-0.265	0.107	-0.474	-0.260	-0.066
beta0_pelagic[16]	-0.277	0.360	-1.189	-0.205	0.252
beta1_pelagic[1]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[2]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[3]	0.704	0.237	0.266	0.688	1.196
beta1_pelagic[4]	0.823	0.241	0.382	0.816	1.351
beta1_pelagic[5]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[6]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[7]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[8]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[9]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[10]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[11]	1.272	0.387	0.831	1.195	2.507
beta1_pelagic[12]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[13]	1.670	0.808	0.583	1.471	3.347
beta1_pelagic[14]	2.385	0.702	1.458	2.174	3.880
beta1_pelagic[15]	0.592	0.356	0.113	0.548	1.443
beta1_pelagic[16]	1.477	0.519	0.718	1.386	2.679
beta2_pelagic[1]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[2]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[3]	6.515	5.843	0.281	4.850	20.936
beta2_pelagic[4]	7.600	6.159	0.427	6.107	22.150
beta2_pelagic[5]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[6]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[7]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[8]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[9]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[10]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[11]	1.543	1.221	0.153	1.155	4.917
beta2_pelagic[12]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[13]	0.759	1.050	0.086	0.337	4.160
beta2_pelagic[14]	0.519	0.417	0.151	0.404	1.545
beta2_pelagic[15]	2.817	1.853	0.277	2.408	7.198
beta2_pelagic[16]	0.775	1.022	0.121	0.375	4.291
beta3_pelagic[1]	30.955	6.864	19.622	30.924	42.372
beta3_pelagic[2]	30.908	6.858	19.586	30.831	42.272
beta3_pelagic[3]	27.930	2.750	23.310	28.412	32.367
beta3_pelagic[4]	25.768	1.375	22.669	26.106	27.978
beta3_pelagic[5]	29.553	6.659	18.540	29.336	40.424
beta3_pelagic[6]	29.442	6.687	18.521	29.327	40.477
beta3_pelagic[7]	29.501	6.589	18.627	29.413	40.350
beta3_pelagic[8]	29.388	6.683	18.671	29.355	40.431
beta3_pelagic[9]	29.485	6.659	18.562	29.312	40.468
beta3_pelagic[10]	29.469	6.624	18.505	29.348	40.401
beta3_pelagic[11]	29.929	1.317	27.269	29.957	32.458
beta3_pelagic[12]	30.930	6.906	19.661	30.951	42.424
beta3_pelagic[13]	35.606	3.789	26.562	36.039	41.481
beta3_pelagic[14]	34.247	1.953	31.522	33.814	39.106
beta3_pelagic[15]	40.003	3.179	30.208	40.864	42.788
beta3_pelagic[16]	31.800	2.556	26.496	31.648	36.876
beta0_yellow[1]	-0.481	0.151	-0.778	-0.479	-0.187
beta0_yellow[2]	0.541	0.199	0.039	0.563	0.851
beta0_yellow[3]	-0.165	0.201	-0.571	-0.162	0.207
beta0_yellow[4]	0.988	0.206	0.486	1.007	1.348
beta0_yellow[5]	0.386	0.336	-0.365	0.428	0.935
beta0_yellow[6]	0.810	0.157	0.506	0.808	1.121
beta0_yellow[7]	0.955	0.160	0.657	0.953	1.276
beta0_yellow[8]	0.977	0.162	0.669	0.974	1.301
beta0_yellow[9]	0.529	0.167	0.194	0.534	0.842
beta0_yellow[10]	0.676	0.139	0.405	0.678	0.953
beta0_yellow[11]	-0.192	0.150	-0.493	-0.186	0.098
beta0_yellow[12]	-1.121	0.165	-1.443	-1.122	-0.786
beta0_yellow[13]	-1.221	0.163	-1.538	-1.221	-0.901
beta0_yellow[14]	-0.155	0.165	-0.469	-0.157	0.176
beta0_yellow[15]	-1.237	0.152	-1.557	-1.233	-0.943
beta0_yellow[16]	-0.279	0.167	-0.616	-0.278	0.043
beta1_yellow[1]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[2]	1.032	0.358	0.523	0.985	2.118
beta1_yellow[3]	0.451	0.267	0.016	0.456	0.958
beta1_yellow[4]	1.185	0.415	0.571	1.133	2.363
beta1_yellow[5]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[6]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[7]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[8]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[9]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[10]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[11]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[12]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[13]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[14]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[15]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[16]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[1]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[2]	-7.154	5.801	-21.146	-5.892	-0.162
beta2_yellow[3]	-6.949	5.030	-19.862	-6.182	-0.406
beta2_yellow[4]	-6.854	6.008	-21.487	-5.449	-0.178
beta2_yellow[5]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[6]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[7]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[8]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[9]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[10]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[11]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[12]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[13]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[14]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[15]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[16]	0.000	0.000	0.000	0.000	0.000
beta3_yellow[1]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[2]	29.119	1.577	26.992	28.777	32.939
beta3_yellow[3]	33.097	3.342	25.257	32.861	40.620
beta3_yellow[4]	28.233	2.439	24.770	27.671	35.175
beta3_yellow[5]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[6]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[7]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[8]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[9]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[10]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[11]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[12]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[13]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[14]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[15]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[16]	25.000	0.000	25.000	25.000	25.000
beta0_black[1]	0.049	0.180	-0.307	0.047	0.404
beta0_black[2]	1.907	0.171	1.565	1.908	2.247
beta0_black[3]	1.397	0.177	1.048	1.395	1.752
beta0_black[4]	2.523	0.177	2.183	2.523	2.868
beta0_black[5]	4.844	2.302	1.822	4.382	10.649
beta0_black[6]	4.885	2.191	2.316	4.304	10.701
beta0_black[7]	3.795	2.065	1.502	3.179	9.599
beta0_black[8]	1.087	0.276	0.550	1.083	1.622
beta0_black[9]	2.702	0.297	2.128	2.703	3.284
beta0_black[10]	1.377	0.177	1.036	1.374	1.731
beta0_black[11]	2.974	0.182	2.617	2.972	3.333
beta0_black[12]	4.856	0.240	4.381	4.853	5.325
beta0_black[13]	0.321	0.234	0.016	0.277	0.864
beta0_black[14]	2.844	0.197	2.465	2.844	3.242
beta0_black[15]	1.292	0.192	0.912	1.291	1.672
beta0_black[16]	3.771	0.190	3.391	3.771	4.144
beta2_black[1]	0.000	0.000	0.000	0.000	0.000
beta2_black[2]	0.000	0.000	0.000	0.000	0.000
beta2_black[3]	0.000	0.000	0.000	0.000	0.000
beta2_black[4]	0.000	0.000	0.000	0.000	0.000
beta2_black[5]	0.000	0.000	0.000	0.000	0.000
beta2_black[6]	0.000	0.000	0.000	0.000	0.000
beta2_black[7]	0.000	0.000	0.000	0.000	0.000
beta2_black[8]	0.000	0.000	0.000	0.000	0.000
beta2_black[9]	0.000	0.000	0.000	0.000	0.000
beta2_black[10]	0.000	0.000	0.000	0.000	0.000
beta2_black[11]	0.000	0.000	0.000	0.000	0.000
beta2_black[12]	0.000	0.000	0.000	0.000	0.000
beta2_black[13]	-2.541	1.649	-6.484	-2.146	-0.455
beta2_black[14]	0.000	0.000	0.000	0.000	0.000
beta2_black[15]	0.000	0.000	0.000	0.000	0.000
beta2_black[16]	0.000	0.000	0.000	0.000	0.000
beta3_black[1]	25.000	0.000	25.000	25.000	25.000
beta3_black[2]	25.000	0.000	25.000	25.000	25.000
beta3_black[3]	25.000	0.000	25.000	25.000	25.000
beta3_black[4]	25.000	0.000	25.000	25.000	25.000
beta3_black[5]	25.000	0.000	25.000	25.000	25.000
beta3_black[6]	25.000	0.000	25.000	25.000	25.000
beta3_black[7]	25.000	0.000	25.000	25.000	25.000
beta3_black[8]	25.000	0.000	25.000	25.000	25.000
beta3_black[9]	25.000	0.000	25.000	25.000	25.000
beta3_black[10]	25.000	0.000	25.000	25.000	25.000
beta3_black[11]	25.000	0.000	25.000	25.000	25.000
beta3_black[12]	25.000	0.000	25.000	25.000	25.000
beta3_black[13]	38.604	1.310	35.843	38.844	40.508
beta3_black[14]	25.000	0.000	25.000	25.000	25.000
beta3_black[15]	25.000	0.000	25.000	25.000	25.000
beta3_black[16]	25.000	0.000	25.000	25.000	25.000
beta4_black[1]	-0.341	0.241	-0.818	-0.341	0.133
beta4_black[2]	0.269	0.234	-0.188	0.270	0.729
beta4_black[3]	-1.025	0.237	-1.501	-1.022	-0.568
beta4_black[4]	0.566	0.270	0.022	0.574	1.077
beta4_black[5]	0.826	1.674	-1.418	0.519	4.820
beta4_black[6]	0.945	1.701	-1.091	0.594	5.352
beta4_black[7]	0.821	1.597	-1.112	0.492	4.631
beta4_black[8]	-0.263	0.369	-0.999	-0.262	0.454
beta4_black[9]	1.103	0.925	-0.172	0.917	3.424
beta4_black[10]	0.104	0.226	-0.345	0.111	0.537
beta4_black[11]	-0.600	0.245	-1.087	-0.600	-0.106
beta4_black[12]	0.670	0.380	-0.067	0.665	1.432
beta4_black[13]	-1.227	0.257	-1.727	-1.226	-0.725
beta4_black[14]	0.099	0.287	-0.451	0.099	0.688
beta4_black[15]	-1.008	0.252	-1.502	-1.006	-0.505
beta4_black[16]	-0.454	0.262	-0.964	-0.458	0.078
beta0_dsr[11]	-0.585	0.169	-0.927	-0.583	-0.254
beta0_dsr[12]	1.451	0.179	1.110	1.450	1.802
beta0_dsr[13]	0.082	0.160	-0.235	0.082	0.403
beta0_dsr[14]	-0.138	0.170	-0.470	-0.136	0.203
beta0_dsr[15]	0.020	0.163	-0.310	0.023	0.337
beta0_dsr[16]	-0.087	0.169	-0.433	-0.086	0.232
beta1_dsr[11]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[12]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[13]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[14]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[15]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[16]	0.000	0.000	0.000	0.000	0.000
beta4_dsr[11]	1.049	0.222	0.601	1.049	1.477
beta4_dsr[12]	0.711	0.324	0.083	0.712	1.344
beta4_dsr[13]	0.158	0.216	-0.264	0.157	0.587
beta4_dsr[14]	-0.085	0.242	-0.583	-0.079	0.374
beta4_dsr[15]	0.723	0.209	0.321	0.726	1.138
beta4_dsr[16]	0.446	0.229	-0.015	0.447	0.883
beta0_slope[11]	-1.910	0.206	-2.323	-1.907	-1.496
beta0_slope[12]	-5.443	0.348	-6.165	-5.438	-4.773
beta0_slope[13]	-1.289	0.217	-1.705	-1.296	-0.849
beta0_slope[14]	-2.574	0.224	-3.040	-2.573	-2.144
beta0_slope[15]	-1.277	0.210	-1.680	-1.279	-0.867
beta0_slope[16]	-2.320	0.204	-2.722	-2.323	-1.921
beta1_slope[11]	0.000	0.000	0.000	0.000	0.000
beta1_slope[12]	0.000	0.000	0.000	0.000	0.000
beta1_slope[13]	0.000	0.000	0.000	0.000	0.000
beta1_slope[14]	0.000	0.000	0.000	0.000	0.000
beta1_slope[15]	0.000	0.000	0.000	0.000	0.000
beta1_slope[16]	0.000	0.000	0.000	0.000	0.000
beta4_slope[11]	-0.789	0.280	-1.356	-0.792	-0.229
beta4_slope[12]	-3.889	0.925	-5.774	-3.846	-2.152
beta4_slope[13]	-0.016	0.281	-0.596	-0.011	0.519
beta4_slope[14]	-0.379	0.337	-1.015	-0.383	0.279
beta4_slope[15]	-0.914	0.277	-1.487	-0.921	-0.384
beta4_slope[16]	-0.673	0.290	-1.233	-0.675	-0.114
beta5_slope[11]	2.623	0.313	1.999	2.622	3.223
beta5_slope[12]	1.606	0.530	0.558	1.612	2.652
beta5_slope[13]	1.354	0.314	0.737	1.353	1.962
beta5_slope[14]	3.485	0.467	2.605	3.481	4.418
beta5_slope[15]	1.685	0.314	1.062	1.685	2.311
beta5_slope[16]	2.841	0.397	2.101	2.836	3.648
tau_comp[1]	4.046	0.305	3.482	4.037	4.667
tau_comp[2]	2.579	0.213	2.189	2.570	3.016
tau_comp[3]	1.361	0.101	1.169	1.358	1.568
tau_comp[4]	2.446	0.312	1.877	2.426	3.106
tau_comp[5]	1.505	0.204	1.140	1.491	1.935
sigma_H[1]	0.208	0.049	0.124	0.204	0.316
sigma_H[2]	0.172	0.028	0.126	0.169	0.234
sigma_H[3]	0.181	0.040	0.110	0.179	0.268
sigma_H[4]	0.465	0.080	0.335	0.455	0.643
sigma_H[5]	0.964	0.203	0.583	0.953	1.388
sigma_H[6]	0.521	0.185	0.140	0.522	0.884
sigma_H[7]	0.314	0.063	0.214	0.305	0.468
sigma_H[8]	0.423	0.093	0.273	0.416	0.615
sigma_H[9]	0.517	0.119	0.333	0.501	0.793
sigma_H[10]	0.213	0.039	0.145	0.210	0.300
sigma_H[11]	0.265	0.045	0.191	0.261	0.363
sigma_H[12]	0.378	0.147	0.195	0.334	0.718
sigma_H[13]	0.219	0.037	0.156	0.216	0.300
sigma_H[14]	0.498	0.088	0.347	0.492	0.687
sigma_H[15]	0.240	0.038	0.174	0.236	0.323
sigma_H[16]	0.221	0.041	0.153	0.216	0.316
lambda_H[1]	2.240	3.590	0.084	0.984	11.512
lambda_H[2]	5.359	5.084	0.507	3.781	18.791
lambda_H[3]	4.274	5.975	0.257	2.420	20.807
lambda_H[4]	0.006	0.004	0.001	0.005	0.017
lambda_H[5]	2.333	6.055	0.018	0.558	15.969
lambda_H[6]	7.461	15.824	0.008	0.490	51.071
lambda_H[7]	0.012	0.008	0.002	0.010	0.033
lambda_H[8]	8.136	10.456	0.104	4.375	37.553
lambda_H[9]	0.015	0.010	0.003	0.013	0.039
lambda_H[10]	0.229	0.283	0.027	0.159	0.842
lambda_H[11]	0.223	0.366	0.010	0.098	1.080
lambda_H[12]	3.606	4.577	0.176	2.125	16.299
lambda_H[13]	3.262	2.898	0.294	2.442	10.750
lambda_H[14]	3.297	3.874	0.228	2.166	13.022
lambda_H[15]	0.021	0.089	0.003	0.014	0.065
lambda_H[16]	0.960	1.397	0.053	0.502	4.784
mu_lambda_H[1]	4.029	1.903	1.064	3.790	8.243
mu_lambda_H[2]	3.704	1.918	0.573	3.575	7.692
mu_lambda_H[3]	3.397	1.816	0.750	3.140	7.538
sigma_lambda_H[1]	8.029	4.377	1.709	7.174	17.919
sigma_lambda_H[2]	8.233	4.719	0.983	7.806	18.229
sigma_lambda_H[3]	6.085	3.935	0.977	5.166	16.335
beta_H[1,1]	6.487	1.325	3.447	6.740	8.455
beta_H[2,1]	9.752	0.621	8.404	9.790	10.868
beta_H[3,1]	7.790	0.800	5.833	7.873	9.129
beta_H[4,1]	10.557	7.728	-5.057	10.612	25.469
beta_H[5,1]	-0.444	2.900	-6.286	-0.251	4.314
beta_H[6,1]	3.172	4.305	-7.645	4.718	8.064
beta_H[7,1]	0.881	5.817	-11.704	1.340	10.917
beta_H[8,1]	1.245	3.207	-2.634	1.242	3.545
beta_H[9,1]	13.568	5.665	2.382	13.471	25.075
beta_H[10,1]	6.849	1.881	2.867	6.882	10.661
beta_H[11,1]	4.779	3.570	-2.915	5.398	9.964
beta_H[12,1]	2.609	1.135	0.610	2.546	5.074
beta_H[13,1]	9.101	0.819	7.271	9.153	10.556
beta_H[14,1]	2.136	1.059	0.197	2.142	4.175
beta_H[15,1]	-6.913	3.524	-13.174	-7.085	0.713
beta_H[16,1]	3.244	2.413	-0.762	3.022	8.559
beta_H[1,2]	7.786	0.269	7.262	7.786	8.325
beta_H[2,2]	9.887	0.161	9.564	9.887	10.202
beta_H[3,2]	8.832	0.198	8.451	8.833	9.220
beta_H[4,2]	3.037	1.438	0.350	3.008	5.894
beta_H[5,2]	1.697	1.037	-0.368	1.707	3.656
beta_H[6,2]	6.011	1.132	3.455	6.205	7.793
beta_H[7,2]	2.482	1.096	0.514	2.412	4.760
beta_H[8,2]	3.019	0.988	1.386	3.145	4.230
beta_H[9,2]	3.113	1.082	1.074	3.085	5.342
beta_H[10,2]	8.002	0.368	7.242	8.013	8.708
beta_H[11,2]	9.848	0.649	8.836	9.764	11.244
beta_H[12,2]	3.937	0.371	3.213	3.930	4.687
beta_H[13,2]	9.141	0.234	8.707	9.132	9.623
beta_H[14,2]	4.028	0.335	3.415	4.026	4.694
beta_H[15,2]	11.514	0.645	10.129	11.550	12.695
beta_H[16,2]	4.574	0.777	3.072	4.586	6.099
beta_H[1,3]	8.436	0.268	7.937	8.432	8.979
beta_H[2,3]	9.872	0.144	9.592	9.870	10.157
beta_H[3,3]	9.523	0.163	9.217	9.516	9.858
beta_H[4,3]	-2.223	0.841	-3.897	-2.204	-0.614
beta_H[5,3]	3.901	0.632	2.644	3.903	5.105
beta_H[6,3]	8.352	1.212	6.618	8.033	10.952
beta_H[7,3]	-2.660	0.633	-3.922	-2.663	-1.426
beta_H[8,3]	5.268	0.481	4.688	5.190	6.333
beta_H[9,3]	-2.642	0.696	-4.008	-2.641	-1.323
beta_H[10,3]	8.521	0.282	7.990	8.514	9.066
beta_H[11,3]	8.486	0.293	7.874	8.505	9.004
beta_H[12,3]	5.261	0.330	4.470	5.307	5.793
beta_H[13,3]	8.880	0.168	8.546	8.882	9.211
beta_H[14,3]	5.776	0.273	5.178	5.793	6.261
beta_H[15,3]	10.284	0.303	9.682	10.276	10.879
beta_H[16,3]	6.498	0.524	5.407	6.535	7.412
beta_H[1,4]	8.088	0.190	7.695	8.095	8.436
beta_H[2,4]	9.869	0.126	9.609	9.876	10.095
beta_H[3,4]	10.021	0.155	9.696	10.031	10.303
beta_H[4,4]	11.824	0.457	10.883	11.826	12.727
beta_H[5,4]	5.611	0.801	4.329	5.511	7.436
beta_H[6,4]	7.194	0.921	5.171	7.428	8.516
beta_H[7,4]	8.555	0.348	7.859	8.557	9.238
beta_H[8,4]	6.687	0.252	6.207	6.698	7.128
beta_H[9,4]	7.392	0.439	6.548	7.386	8.271
beta_H[10,4]	7.492	0.219	7.070	7.483	7.939
beta_H[11,4]	9.508	0.196	9.119	9.507	9.902
beta_H[12,4]	7.250	0.197	6.885	7.246	7.671
beta_H[13,4]	9.064	0.143	8.772	9.067	9.335
beta_H[14,4]	7.830	0.214	7.402	7.825	8.275
beta_H[15,4]	9.456	0.222	9.025	9.458	9.885
beta_H[16,4]	9.356	0.219	8.963	9.339	9.814
beta_H[1,5]	8.888	0.156	8.563	8.898	9.178
beta_H[2,5]	10.678	0.097	10.495	10.677	10.880
beta_H[3,5]	10.824	0.158	10.527	10.823	11.156
beta_H[4,5]	8.336	0.488	7.384	8.331	9.331
beta_H[5,5]	5.016	0.683	3.317	5.126	6.073
beta_H[6,5]	8.743	0.596	7.796	8.641	10.076
beta_H[7,5]	6.544	0.344	5.880	6.538	7.241
beta_H[8,5]	8.202	0.206	7.871	8.184	8.634
beta_H[9,5]	8.190	0.461	7.281	8.202	9.076
beta_H[10,5]	9.992	0.227	9.555	9.989	10.455
beta_H[11,5]	11.597	0.223	11.156	11.598	12.032
beta_H[12,5]	8.605	0.185	8.236	8.607	8.984
beta_H[13,5]	10.119	0.129	9.879	10.115	10.384
beta_H[14,5]	9.255	0.210	8.845	9.250	9.686
beta_H[15,5]	11.312	0.235	10.841	11.312	11.764
beta_H[16,5]	9.905	0.169	9.549	9.911	10.209
beta_H[1,6]	10.139	0.244	9.759	10.103	10.738
beta_H[2,6]	11.464	0.112	11.244	11.464	11.694
beta_H[3,6]	10.569	0.158	10.244	10.578	10.851
beta_H[4,6]	12.932	0.881	11.206	12.937	14.633
beta_H[5,6]	5.707	0.718	4.537	5.650	7.262
beta_H[6,6]	8.618	0.574	7.364	8.643	9.685
beta_H[7,6]	10.540	0.600	9.346	10.544	11.696
beta_H[8,6]	9.478	0.256	8.992	9.489	9.902
beta_H[9,6]	8.242	0.761	6.778	8.241	9.755
beta_H[10,6]	9.121	0.341	8.377	9.151	9.709
beta_H[11,6]	10.694	0.366	9.916	10.725	11.319
beta_H[12,6]	9.365	0.234	8.921	9.353	9.843
beta_H[13,6]	11.074	0.151	10.780	11.072	11.364
beta_H[14,6]	9.926	0.281	9.376	9.933	10.458
beta_H[15,6]	10.523	0.418	9.725	10.533	11.336
beta_H[16,6]	10.645	0.228	10.150	10.658	11.064
beta_H[1,7]	10.153	1.249	7.041	10.455	11.915
beta_H[2,7]	12.102	0.515	10.992	12.141	13.040
beta_H[3,7]	10.101	0.666	8.648	10.149	11.289
beta_H[4,7]	1.370	4.533	-7.334	1.274	10.614
beta_H[5,7]	5.812	2.432	0.730	5.936	10.100
beta_H[6,7]	7.241	3.099	-0.796	8.296	11.087
beta_H[7,7]	7.613	3.072	1.660	7.540	13.762
beta_H[8,7]	10.806	0.952	9.095	10.794	12.551
beta_H[9,7]	5.119	3.914	-2.661	5.138	12.693
beta_H[10,7]	9.968	1.611	7.169	9.849	13.409
beta_H[11,7]	11.404	1.822	8.175	11.245	15.402
beta_H[12,7]	9.776	0.950	7.761	9.840	11.344
beta_H[13,7]	11.710	0.679	10.255	11.754	12.890
beta_H[14,7]	10.646	0.908	8.812	10.656	12.389
beta_H[15,7]	14.036	2.243	9.649	14.018	18.506
beta_H[16,7]	12.565	1.241	10.561	12.393	15.357
beta0_H[1]	8.555	17.520	-25.915	8.783	45.429
beta0_H[2]	10.656	7.793	-4.998	10.536	26.435
beta0_H[3]	9.950	10.631	-11.551	9.846	32.917
beta0_H[4]	8.402	177.388	-331.012	6.649	378.718
beta0_H[5]	3.974	33.771	-59.274	4.152	67.684
beta0_H[6]	7.224	47.280	-101.892	7.732	115.059
beta0_H[7]	2.098	139.632	-276.640	5.469	283.047
beta0_H[8]	7.521	40.625	-18.125	6.672	29.928
beta0_H[9]	3.076	119.515	-236.775	3.299	249.296
beta0_H[10]	9.799	37.566	-65.092	9.499	88.593
beta0_H[11]	8.718	54.757	-108.569	8.716	121.004
beta0_H[12]	6.246	14.082	-19.294	6.547	32.241
beta0_H[13]	9.502	10.054	-12.475	9.861	27.389
beta0_H[14]	7.007	12.096	-15.479	6.850	30.297
beta0_H[15]	11.617	113.550	-215.709	10.880	244.998
beta0_H[16]	7.955	23.073	-36.985	8.224	54.801